Geodesic
Inexact Newton preconditioning techniques for large symmetric eigenvalue problems
Electronic transactions on numerical analysis, Tome 7 (1998), pp. 202-214
This paper studies a number of Newton methods and use them to define new secondary linear systems of equations for the Davidson eigenvalue method. The new secondary equations avoid some common pitfalls of the existing ones such as the correction equation and the Jacobi-Davidson preconditioning. We will also demonstrate that the new schemes can be used efficiently in test problems.
Classification : 65F50, 65F15
Keywords: sparse matrix eigenvalue problem, Newton method, preconditioning for eigenvalue method 
@article{ETNA_1998__7__a0,
     author = {Wu,  Kesheng and Saad,  Yousef and Stathopoulos,  Andreas},
     title = {Inexact {Newton} preconditioning techniques for large symmetric eigenvalue problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {202--214},
     year = {1998},
     volume = {7},
     zbl = {0916.65035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1998__7__a0/}
}
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AU  - Wu,  Kesheng
AU  - Saad,  Yousef
AU  - Stathopoulos,  Andreas
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PY  - 1998
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EP  - 214
VL  - 7
UR  - http://geodesic.mathdoc.fr/item/ETNA_1998__7__a0/
LA  - en
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%0 Journal Article
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%A Saad,  Yousef
%A Stathopoulos,  Andreas
%T Inexact Newton preconditioning techniques for large symmetric eigenvalue problems
%J Electronic transactions on numerical analysis
%D 1998
%P 202-214
%V 7
%U http://geodesic.mathdoc.fr/item/ETNA_1998__7__a0/
%G en
%F ETNA_1998__7__a0
Wu,  Kesheng; Saad,  Yousef; Stathopoulos,  Andreas. Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. Electronic transactions on numerical analysis, Tome 7 (1998), pp. 202-214. http://geodesic.mathdoc.fr/item/ETNA_1998__7__a0/